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If $\frac{\tan x}{2} = \frac{\tan y}{3} = \frac{\tan z}{5}$ and $x + y + z = π$ then the value of $\tan^{2} x + \tan^{2} y + \tan^{2} z$ is

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Correct option is A

x+y+z=π⇒tan⁡x+tan⁡y+tan⁡z=tan⁡ xtan⁡ ytan⁡ z ⇒2k+3k+5k=2k×3k×5k⇒k2=1/3tan2⁡x+tan2⁡y+tan2⁡z=13(4+9+25)=383.

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If tan⁡x2=tan⁡y3=tan⁡z5 and x+y+z=π then the value of tan2⁡x+tan2⁡y+tan2⁡z is

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If $\frac{\tan x}{2} = \frac{\tan y}{3} = \frac{\tan z}{5}$ and $x + y + z = π$ then the value of $\tan^{2} x + \tan^{2} y + \tan^{2} z$ is